建立物理模型如图所示
![](http://www.00-edu.com/d/file/2022-10-05/7089ffd52267440a44d72da182b313c0.jpg)
(1)对“资源卫星”
![](http://www.00-edu.com/d/file/2022-10-05/1b1df1f88790f3dc707927b3ac054487.gif)
①
![](http://www.00-edu.com/d/file/2022-10-05/3211d9ba61894206058fdc1be08b83bb.gif)
②
解得:
![](http://www.00-edu.com/d/file/2022-10-05/79a85af9e1fe4ff97b619c5c033c63bf.gif)
③
(2)设A为“天链一号”卫星,过A作地球的切线AB和AC,则∠COB所对应的优弧即为测控范围。
由O作垂线OE、OD如图所示,则
由几何知识有:
![](http://www.00-edu.com/d/file/2022-10-05/a09b71cd47809f1bee959e81530cc159.gif)
④
![](http://www.00-edu.com/d/file/2022-10-05/68d174d24c103e35d8517f1ada788e05.gif)
⑤
所以
![](http://www.00-edu.com/d/file/2022-10-05/0c3f0f7885df6491ab01b73a209a17cd.gif)
⑥
测控时间
![](http://www.00-edu.com/d/file/2022-10-05/d4382eeecec4758ca5da2f6ad55af847.gif)
⑦
建立物理模型如图所示
(1)对“资源卫星”
![](http://www.00-edu.com/d/file/2022-10-05/1b1df1f88790f3dc707927b3ac054487.gif)
①
![](http://www.00-edu.com/d/file/2022-10-05/3211d9ba61894206058fdc1be08b83bb.gif)
②
解得:
![](http://www.00-edu.com/d/file/2022-10-05/79a85af9e1fe4ff97b619c5c033c63bf.gif)
③
(2)设A为“天链一号”卫星,过A作地球的切线AB和AC,则∠COB所对应的优弧即为测控范围。
由O作垂线OE、OD如图所示,则
由几何知识有:
![](http://www.00-edu.com/d/file/2022-10-05/a09b71cd47809f1bee959e81530cc159.gif)
④
![](http://www.00-edu.com/d/file/2022-10-05/68d174d24c103e35d8517f1ada788e05.gif)
⑤
所以
![](http://www.00-edu.com/d/file/2022-10-05/bdcac597c1cd9ec69e970eedb85dc6fc.gif)
⑥
测控时间
![](http://www.00-edu.com/d/file/2022-10-05/d4382eeecec4758ca5da2f6ad55af847.gif)
⑦
![](http://www.00-edu.com/d/file/2022-10-05/bfb8c4197faa95a7dc694c744b822f96.gif)
⑧
评分标准:本题满分20分,其中(1)问8分,①式4分,②③式各2分,(2)问12分,④⑤式各3分,⑥⑦⑧式各2分。
⑧
评分标准:本题满分20分,其中(1)问8分,①式4分,②③式各2分,(2)问12分,④⑤式各3分,⑥⑦⑧式各2分。